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Simplifying -1 + x + -1(2x + -2) = 3x + -1 + -1(-2x + -1) Reorder the terms: -1 + x + -1(-2 + 2x) = 3x + -1 + -1(-2x + -1) -1 + x + (-2 * -1 + 2x * -1) = 3x + -1 + -1(-2x + -1) -1 + x + (2 + -2x) = 3x + -1 + -1(-2x + -1) Reorder the terms: -1 + 2 + x + -2x = 3x + -1 + -1(-2x + -1) Combine like terms: -1 + 2 = 1 1 + x + -2x = 3x + -1 + -1(-2x + -1) Combine like terms: x + -2x = -1x 1 + -1x = 3x + -1 + -1(-2x + -1) Reorder the terms: 1 + -1x = 3x + -1 + -1(-1 + -2x) 1 + -1x = 3x + -1 + (-1 * -1 + -2x * -1) 1 + -1x = 3x + -1 + (1 + 2x) Reorder the terms: 1 + -1x = -1 + 1 + 3x + 2x Combine like terms: -1 + 1 = 0 1 + -1x = 0 + 3x + 2x 1 + -1x = 3x + 2x Combine like terms: 3x + 2x = 5x 1 + -1x = 5x Solving 1 + -1x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + -1x + -5x = 5x + -5x Combine like terms: -1x + -5x = -6x 1 + -6x = 5x + -5x Combine like terms: 5x + -5x = 0 1 + -6x = 0 Add '-1' to each side of the equation. 1 + -1 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667
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